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Simplifying 20a + 13b + 6c + 4c + -4b + -4a = 0 Reorder the terms: 20a + -4a + 13b + -4b + 6c + 4c = 0 Combine like terms: 20a + -4a = 16a 16a + 13b + -4b + 6c + 4c = 0 Combine like terms: 13b + -4b = 9b 16a + 9b + 6c + 4c = 0 Combine like terms: 6c + 4c = 10c 16a + 9b + 10c = 0 Solving 16a + 9b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 16a + 9b + -9b + 10c = 0 + -9b Combine like terms: 9b + -9b = 0 16a + 0 + 10c = 0 + -9b 16a + 10c = 0 + -9b Remove the zero: 16a + 10c = -9b Add '-10c' to each side of the equation. 16a + 10c + -10c = -9b + -10c Combine like terms: 10c + -10c = 0 16a + 0 = -9b + -10c 16a = -9b + -10c Divide each side by '16'. a = -0.5625b + -0.625c Simplifying a = -0.5625b + -0.625c
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